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Finding the Third Proportional to 128,278.69 and 273,165.75

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Solution

The third proportional to 128,278.69 and 273,165.75 is: 581,698.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,278.69 : 273,165.75 = 273,165.75 : x
  2. Step 2: Convert to fraction form
    128,278.69/273,165.75 = 273,165.75/x
  3. Step 3: Cross multiply
    128,278.69x = 273,165.75 × 273,165.75
  4. Step 4: Simplify right side
    128,278.69x = 74,619,526,973.06
  5. Step 5: Solve for x
    x = 74,619,526,973.06/128,278.69
  6. Step 6: Final answer
    x = 581,698.55

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.